Question

The table below shows the distance y, in miles, traveled by a toy car in x minutes:


Time (x)
(minutes) 20 30 40 50
Distance (y)
(miles) 5 10 15 20


Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car. (4 points)
[Choose the value of correlation coefficient from 1, 0.8, 0.5, 0.02]

Part B: What is the value of the slope of the graph of distance versus time, and what does the slope represent? (3 points)

Part C: Does the dat

Answer 1

Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)

Answer 2

Here's what I put:
Part A:a. 10 = 4k, k = 2.5
20 = 8k, k = 2.5 again, so 2.5 is a valid correlation-coefficient.
In terms of x, it's 1/2.5 =0.4

Part B:

Part C: The data can only represent correlation and not causation. Time cannot cause events, but events can happen at certain times.

Answer 3

Im not sure for part. b @ganeshie8

Answer 4

Part C looks good

Part A is wrong

Answer 5

Look at the table again. As the time is increasing, is the distance travelled increasing or decreasing ?

Answer 6

increasing

Answer 7

also, notice that it is steadily increasing, so the correlation coefficeint would be "1"

no calculations are required, ok

Answer 8

rephrase above in your own words for part A

mention that the distance travelled is increasing steadily as the time is increasing, and add anything extra that comes to your mind

Answer 9

Wht about the other part of the question for Part A?

Answer 10

what other part of part A ?

Answer 11

what is the most likely vaule of eh correleation coefficient of teh data....

Answer 12

also, notice that it is steadily increasing, so the correlation coefficeint would be "1"

no calculations are required, ok

Answer 13

Ok

Answer 14

Use the functions m(x) = 5x + 4 and n(x) = 6x − 9 to complete the function operations listed below.

Part A: Find (m + n)(x). Show your work. (3 points)

Part B: Find (m ⋅ n)(x). Show your work. (3 points)

Part C: Find m[n(x)]. Show your work. (4 points)

Answer 15

@ganeshie8 thsi si the one i didnt do

Answer 16

(m + n)(x) = m(x) + n(x)

simply add up the expressions for m(x) and n(x)

Answer 17

so 5x+4+6x-9?

Answer 18

Yes, simplify

Answer 19

11x+13 thats the asnwer for part a?

Answer 20

try again

Answer 21

4 - 9 = ?

Answer 22

11x-5

Answer 23

Looks good

Answer 24

i thought it was all added mesed up

Answer 25

for part b :

(m ⋅ n)(x) = m(x) * n(x)

multiply both the expressions for m(x) and n(x)

Answer 26

for partb i wil fo (5x+4) * (6x-9)?

Answer 27

Yep!

Answer 28

so i get 30x^2-21x-36

Answer 29

Then for the last one ur going to have to explin step by tep with that one @ganeshie8

Answer 30

Haha okay last one is tricky indeed

Answer 31

m(x) = 5x + 4
n(x) = 6x − 9


to compute, m[n(x)], you replace "x" by "6x-9" in m(x) :

m[ `n(x)` ] = 5( `6x-9` ) + 4 = ?

Answer 32

so thats how i solve using that equation?

Answer 33

and i am solving for x?

Answer 34

@ganeshie8

Answer 35

we're not solving for anything
just simplify the expression

Answer 36

im not sure hpw to do that w/ this one

Answer 37

m(x) = 5x + 4
n(x) = 6x − 9


to compute, m[n(x)], you replace "x" by "6x-9" in m(x) :

m[ `n(x)` ] = 5( `6x-9` ) + 4 = 30x - 45 + 4 = 30x - 41

Answer 38

Ok thank you hold on just a sec the two others i fiished so ...

Answer 39

Part A: Factor x2y2 + 6xy2 + 8y2. Show your work. (4 points)

Part B: Factor x2 + 8x + 16. Show your work. (3 points)

Part C: Factor x2 − 16. Show your work. (3 points)

Answer 40

Part A: y^2 (x+4) (x+2)
How I found the answer:
x^2y^2+6xy^2+8y^2
y^2 (x^2+6x+8)
y^2 (x+4) (x+2)

Part B: (x+4) (x+4) or (x+4) ^2

How I found the answer:

The third digit in the polynomial is 16. So I will find the factors of 16.
So I get 1 *16=16, 2*8=16, 4*4=16.

Then I will look at the second digit in the polynomial which is 8x. The second one is the one that when you add the two numbers you get the exact answer.
1*16=16, 2*8=16,4*4=16 was our factors of 16.
4+4=8 is for 8x.

So, you know, on the spot that it has to be 4, and 4. Since the trinomial x^2+8x+16 is completely postitve. That will then give us the answer (x+4) (x+4) or (x+4) ^2
Part C: (x-4) (x+4)

To find the answer: This problem is known as a perfect square. So, for your problem you can always tell it will be a perfect square. For example x^2 - 64.
8*8=64

So, the rules with these is you open two parenthesis with the number as positive and a negative.

To conclude the answer for C would be (x-4)(x+4).

Answer 41

@ganeshie8

Answer 42

Looks good!